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SUMMARY:Groebli solution for three magnetic vortices - Stavros Komineas\, 
 University of Crete\, Heraklion
DTSTART:20110120T141500Z
DTEND:20110120T151500Z
UID:TALK28604@talks.cam.ac.uk
CONTACT:Dr G Moller
DESCRIPTION:The dynamics of N point vortices in a fluid is described by th
 e Helmholtz-Kirchhoff (HK) equations which lead to a completely integrable
  Hamiltonian system for N=2 or 3 but chaotic dynamics for N>3. Here we con
 sider a generalization of the HK equations to describe the dynamics of mag
 netic vortices within a collective-coordinate approximation. In particular
 \, we analyze in detail the dynamics of a system of three magnetic vortice
 s by a suitable generalization of the solution for three point vortices in
  an ordinary fluid obtained by Groebli more than a century ago. The signif
 icance of our results for the dynamics of ferromagnetic elements is briefl
 y discussed.\n\nRef: S. Komineas and N. Papanicolaou\, J. Math. Phys. 51\,
  042705 (2010)\; arXiv:0911.2377v1
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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